For the function :

MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

For the function f(x)=x3−6x2+9x+1f(x)=x^{3}-6x^{2}+9x+1: (i) Find all critical points. (ii) Determine the nature (maximum or minimum) of each critical point. (iii) State the coordinates of each local extremum.

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